PROBABILITY AND STATS PRACTICE
PROBLEMS QUESTIONS AND
COMPLETE ANSWERS { GRADED A+}
Students are learning about probability. The teacher explains the theoretical
probability of a two-sided coin landing on any one side. Students then work in
groups and flip a two-sided coin several times. The first group of students flips the
coin 20 times and finds the coin lands on side A 13 times and side B 7 times.
Which of the following observations, based on the scenario, about probability is
accurate? - ✔✔The theoretical probability of the coin landing on side A is less
than the experimental results recorded.
Rohan rolls a 10 sided dice with sides numbered from 1 to 10. What is the
probability that he rolls a prime number? - ✔✔2/5
,The data table shown describes how students get to school each morning at
Memorial Middle School. If a student is drawn at random from the walkers and bus
riders, what is the probability they are a walker? - ✔✔7/44
A student tosses a six-sided die, with each side numbered 1 through 6, and flips a
coin. What is the probability that the die will land on the face numbered 1 and the
coin will land showing tails? - ✔✔1/12
Brianna spun each of the two spinners. Which expression depicts the probability
she spins an "A" on the first spinner and a "1" on the second? - ✔✔1/3 • 1/4
Brianna spun each of the two spinners. What is the probability that she did NOT
spin a "1" on the second spinner? - ✔✔3/4
Rae Anne has 3 children. The first is a boy, the second is a boy, and the third is a
boy. What is the probability that her fourth child is also a boy? - ✔✔1/2
Of the 40 prizes in the toy box, 15 are slime, 18 are fidget spinners, and 7 are
candy. If a student reaches in the box and randomly draws a prize, what are the
odds it is not slime? - ✔✔5/8
The local radio station is giving away free concert tickets to the 104th person who
calls in. Andrew and John want to win the concert tickets, so Andrew calls into the
,station 6 times and John calls in xx times. If the probability that either Andrew or
John wins the concert tickets is 0.125, what is the value of xx? - ✔✔7
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs
of pants, 2 skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or
skirt) or 1 dress, how many different outfits can Whitney create? - ✔✔27
Mrs. Spiser is teaching students about populations and samples in mathematics.
They will take a survey to see how many students are buying lunch in the cafeteria
from the sample and then they will compare it to the whole class. What is the best
method to use? - ✔✔As students enter her room, they randomly draw a red or
black card. She teaches the concept by explaining that the class is the population
and students who drew a red card are the sample group.
Students in Mr. Miller's class are given a worksheet with the different
combinations that can be reached when flipping a coin and rolling a standard die.
Students then work in pairs to flip and roll all of the combinations. What topic is
Mr. Miller teaching - ✔✔sample space
A teacher carries around a bag of marbles with 10 of each of the following colors:
blue, white, and yellow. She asks students to draw one marble from the bag.
Before they draw, they must state the probability of drawing a certain color. The
, first student says the probability of drawing a blue is 1 out of 3 because 10 out of
30 simplifies to 1:3. The student holds onto his blue marble and the next student
says his probability of drawing yellow is 1:3. Evaluate his statement. - ✔✔It is
incorrect and a common misconception about dependent events.
Mrs. Harris writes all the numbers from 4 to 24 on slips of paper and places them
in a hat. She then asks a student to pick a number from the hat. What is the
probability that the number chosen by the student will be a prime number? -
✔✔1/3
A student was selected as a captain of a cooking team in a consumer and family
studies class. The student could pick 2 of 5 girls and 3 of 7 boys to be on their
team. What is the total number of different teams that this captain could select? -
✔✔350
John creates a probability model for rolling two six-sided die as shown above. The
value of each die is on the outside, the sum of the two is on the inside. What is the
probability of rolling two dice and having a sum of 4? - ✔✔1/12
Sally and Susie place 30 white marbles and 9 black marbles in a sack. They play a
game where the object of the game is to accumulate more white marbles than the
other person. On each turn a person can take as many marbles as they would like,
PROBLEMS QUESTIONS AND
COMPLETE ANSWERS { GRADED A+}
Students are learning about probability. The teacher explains the theoretical
probability of a two-sided coin landing on any one side. Students then work in
groups and flip a two-sided coin several times. The first group of students flips the
coin 20 times and finds the coin lands on side A 13 times and side B 7 times.
Which of the following observations, based on the scenario, about probability is
accurate? - ✔✔The theoretical probability of the coin landing on side A is less
than the experimental results recorded.
Rohan rolls a 10 sided dice with sides numbered from 1 to 10. What is the
probability that he rolls a prime number? - ✔✔2/5
,The data table shown describes how students get to school each morning at
Memorial Middle School. If a student is drawn at random from the walkers and bus
riders, what is the probability they are a walker? - ✔✔7/44
A student tosses a six-sided die, with each side numbered 1 through 6, and flips a
coin. What is the probability that the die will land on the face numbered 1 and the
coin will land showing tails? - ✔✔1/12
Brianna spun each of the two spinners. Which expression depicts the probability
she spins an "A" on the first spinner and a "1" on the second? - ✔✔1/3 • 1/4
Brianna spun each of the two spinners. What is the probability that she did NOT
spin a "1" on the second spinner? - ✔✔3/4
Rae Anne has 3 children. The first is a boy, the second is a boy, and the third is a
boy. What is the probability that her fourth child is also a boy? - ✔✔1/2
Of the 40 prizes in the toy box, 15 are slime, 18 are fidget spinners, and 7 are
candy. If a student reaches in the box and randomly draws a prize, what are the
odds it is not slime? - ✔✔5/8
The local radio station is giving away free concert tickets to the 104th person who
calls in. Andrew and John want to win the concert tickets, so Andrew calls into the
,station 6 times and John calls in xx times. If the probability that either Andrew or
John wins the concert tickets is 0.125, what is the value of xx? - ✔✔7
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs
of pants, 2 skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or
skirt) or 1 dress, how many different outfits can Whitney create? - ✔✔27
Mrs. Spiser is teaching students about populations and samples in mathematics.
They will take a survey to see how many students are buying lunch in the cafeteria
from the sample and then they will compare it to the whole class. What is the best
method to use? - ✔✔As students enter her room, they randomly draw a red or
black card. She teaches the concept by explaining that the class is the population
and students who drew a red card are the sample group.
Students in Mr. Miller's class are given a worksheet with the different
combinations that can be reached when flipping a coin and rolling a standard die.
Students then work in pairs to flip and roll all of the combinations. What topic is
Mr. Miller teaching - ✔✔sample space
A teacher carries around a bag of marbles with 10 of each of the following colors:
blue, white, and yellow. She asks students to draw one marble from the bag.
Before they draw, they must state the probability of drawing a certain color. The
, first student says the probability of drawing a blue is 1 out of 3 because 10 out of
30 simplifies to 1:3. The student holds onto his blue marble and the next student
says his probability of drawing yellow is 1:3. Evaluate his statement. - ✔✔It is
incorrect and a common misconception about dependent events.
Mrs. Harris writes all the numbers from 4 to 24 on slips of paper and places them
in a hat. She then asks a student to pick a number from the hat. What is the
probability that the number chosen by the student will be a prime number? -
✔✔1/3
A student was selected as a captain of a cooking team in a consumer and family
studies class. The student could pick 2 of 5 girls and 3 of 7 boys to be on their
team. What is the total number of different teams that this captain could select? -
✔✔350
John creates a probability model for rolling two six-sided die as shown above. The
value of each die is on the outside, the sum of the two is on the inside. What is the
probability of rolling two dice and having a sum of 4? - ✔✔1/12
Sally and Susie place 30 white marbles and 9 black marbles in a sack. They play a
game where the object of the game is to accumulate more white marbles than the
other person. On each turn a person can take as many marbles as they would like,
